NCERT Exemplar Solutions
Class 6 - Mathematics - Unit 4: Fractions & Decimals - Multiple Choice Questions
Question 13

Question.  13

\(11/7\) can be expressed in the form

(A)

\(7\tfrac{1}{4}\)

(B)

\(1\tfrac{4}{7}\)

(C)

\(1\tfrac{4}{7}\)

(D)

\(11\tfrac{1}{7}\)

Detailed Answer with Explanation:

Step 1: We want to change the improper fraction ( rac{11}{7} ) into a mixed number.

Step 2: Divide the numerator by the denominator.

( 11 div 7 = 1 ) with remainder ( 4 ).

Step 3: Write mixed number as

( ext{quotient} ;+; rac{ ext{remainder}}{ ext{denominator}} ).

So, ( 1 + rac{4}{7} = 1 frac{4}{7} ).

Step 4 (Check): Convert back to an improper fraction to verify.

( 1 frac{4}{7} = rac{7 imes 1 + 4}{7} = rac{11}{7} ). Correct.

NCERT Exemplar Solutions Class 6 – Mathematics – Unit 4: Fractions & Decimals – Multiple Choice Questions | Detailed Answers